When a cell is connected to a resistance R1 the rate at...

when a cell is connected to a resistance $R_{1}$ the rate at which heat is generated in it is the same as when the cell is connected to a resistance $\mathrm{R}_{2}\left(<\mathrm{R}_{1}\right)$ the internal resistance of the cell is.... (A) $\left(R_{1}-R_{2}\right)$ (B) $(1 / 2)\left(\mathrm{R}_{1}-\mathrm{R}_{2}\right)$ (C) $\left\{\left(\mathrm{R}_{1} \mathrm{R}_{2}\right) /\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)\right.$ (D) $\sqrt{R}_{1} R_{2}$

when a cell is connected to a resistance $R_{1}$ the rate at which heat is generated in it is the same as when the cell is connected to a resistance $\mathrm{R}_{2}\left(<\mathrm{R}_{1}\right)$ the internal resistance of the cell is....
(A) $\left(R_{1}-R_{2}\right)$
(B) $(1 / 2)\left(\mathrm{R}_{1}-\mathrm{R}_{2}\right)$
(C) $\left\{\left(\mathrm{R}_{1} \mathrm{R}_{2}\right) /\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)\right.$
(D) $\sqrt{R}_{1} R_{2}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Internal Resistance

Internal resistance is a characteristic of any real electrical cell that accounts for the unavoidable resistance encountered by the current within the cell. It affects the terminal voltage since the voltage available to an external circuit is reduced by the voltage drop across this internal resistor. This concept is fundamental when analyzing and predicting the performance of practical power sources and explains why cells do not provide the full electromotive force under load.

Power Dissipation in Resistive Circuits

In electrical circuits, power is dissipated as heat in resistive elements according to formulas such as P = I²R or P = V²/R. This principle is crucial in understanding how energy is converted into heat within both the external load and any internal resistive components, and is directly applied in comparing the rates of heat generation when different load resistances are connected to the same cell.

Equivalent Circuit Model

The equivalent circuit model of a cell represents it as an ideal emf source in series with an internal resistance. This model simplifies the analysis by allowing the use of basic circuit laws to examine how variations in an external resistor influence overall circuit behavior, including the distribution of power dissipation between the cell's internal resistance and the connected load.

Transcript

Please give Ace some feedback